# Introduction to Calculus and Analytic Geometry

## Spring 2013

Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   Miller Science Center 103-C
Office hours:   10:00- 11:00 AM on MWF and 3:00- 4:00 PM on TTR or by appointment
Class hours:   MWF 9:00 AM-9:50 AM, Miller Hall 112
Recitation:   W 12:00 PM-12:50 PM, Miller Hall 112

Text:    Calculus, 7th Edition ( ISBN 9780538497817 ), Authors: James Stewart, Publisher: Houghton Mifflin

Materials covered:    Review of algebra, limits, the derivative, differentiation of algebraic and trigonometric functions, applications of the derivative, extrema, and the antiderivative.

Final Exam:   April 30 (Tuesday)   8:00 – 10:00 AM

• Syllabus;     Tentative Schedule
• Suggested Problems
• Lecture Note: Chapter 2.Derivatives( Printer friendly version), Chapter 3.Applications of Differentiation

## Progress, Problems and Solutions

 Date Progress Problems,Solutions Jan 9 W Introduction Jan 11 F Chapter 1. Functions and Limits: 1.1. Four ways to represent a function Jan 14 M 1.1. Four ways to represent a function, 1.2. Mathematical models: A catalog of essential functions Jan 16 W 1.2. Mathematical models: A catalog of essential functions, 1.3. New functions from old functions Group Quiz Jan 18 F 1.3. New functions from old functions, 1.4. The tangent and velocity problems Jan 23 W 1.4. The tangent and velocity problems, 1.5. The limit of a function Group Quiz Jan 25 F Class Cancelled due to inclement weather: Please work out the quiz problems and turn that in on Monday's class Quiz Jan 28 M 1.5. The limit of a function Jan 30 W 1.6. Calculating limits using the limit laws Group Quiz , Quiz Feb 1 F Class Cancelled due to inclement weather Feb 4 M 1.6. Calculating limits using the limit laws Feb 6 W 1.6. Calculating limits using the limit laws Group Quiz , Quiz Feb 8 F 1.8. Continuity Feb 11 M 1.8. Continuity Feb 13 W 1.8. Continuity, 2.1. Derivatives and rates of change Group Quiz ( Solution ) Feb 15 F Exam 1 Exam 1 ( Range: Chapter 1 ) Solution Feb 18 M 2.1. Derivatives and rates of change Feb 20 W Finished 2.1. Derivatives and rates of change, Started 2.2. The derivative as a function Mini-Make-Up Exam 1 Feb 22 F 2.2. The derivative as a function Feb 25 M 2.3. Differentiation Formula Feb 27 W 2.3. Differentiation Formula Group Quiz , Quiz , ( Solution ) Mar 1 F Mid-Term day, No Class Mar 4 M 2.4. Derivatives of Trigonometric Functions, 2.5. The Chain rule Mar 6 W 2.5. The Chain rule, 2.6. Implicit Differentiation Group Quiz ( Please turn this in on Friday ), Quiz Mar 8 F 2.6. Implicit Differentiation and problem solving Mar 11, 13, and 15 Spring Break Mar 18 M 2.6. Implicit Differentiation Mar 20 W Chapter 3. Applications of differentiation, 3.1. Maximum and minimum values Review for the Exam ( Solution is at the end.) Derivative Formula ( You are to remember 1-18 clearly, except 9-12) Mar 22 F Exam 2( Chapter 2) Exam 2 ( Range: Chapter 2 ) Solution Mar 25 M 3.1. Maximum and minimum values Mar 27 W 3.2. The mean value theorem Mini-Make-Up Exam 2 Mar 29 F Good Friday( No Class ) April 1 M 3.3. How derivatives affect the shape of a graph:Focusing on the First derivative April 3 W 3.3. How derivatives affect the shape of a graph:Focusing on the Second derivative and concavity Group Quiz ( Solution ) April 5 F Go over Group Quiz Quiz ( Solution ) April 8 M Problem Solving Activity April 10 W 3.5. Summary of Curve Sketching Group Quiz ( Solution ) April 12 F Continue to work on group quiz problems April 15 M Problem solving ( Problem #4 in April 10th group quiz ) April 17 W 3.5. Summary of Curve Sketching( Limits of rational functions ) Group Quiz April 19 F Working on the problems on sketching curves Group Quiz April 22 M Exam 3 Part A April 24 W Exam 3 Part B April 26 F Inauguration Day( Class cancelled ) April 30 T Final Comprehensive Exam: 8:00 – 10:00 AM Final Exam